Looking to shop my policy around.

Best thing you can do is find an insurance broker that will shop each renewal to ensure you have the best coverage for the best cash flow. 

. - I realize that contest window was long closed, but I acquired this duplex last week and was shocked to find these rates during closing as opposed to listing which did not show that.

You can also build your buyers list from there as well.

There's a reason listing contracts and purchase contracts are so long.The challenge is investors are NOT business people and are too cheap to hire an attorney to review a Property Management Agreement/Contract!

The fee gets you listing maintenance, a professional person available around the clock to communicate with your guests and monthly/end of year reporting.

The short term shop website has tables for emerald coast (and some other markets) that depicts what I describe. 

I assume most have a list of buyers that they market their houses to but I'm not really sure how to find my way onto the right lists.

On FF, make sure the comps you're using are actually booked properties, and you're not just pulling from every listing in an area as some of those may be sitting vacant because of bad pricing. 

I can send you a list of contacts in Ohio to help you build your team, property manager.